509149536 has 96 divisors (see below), whose sum is σ = 1607880960. Its totient is φ = 137811456.

The previous prime is 509149519. The next prime is 509149547. The reversal of 509149536 is 635941905.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7171 + ... + 32706.

It is an arithmetic number, because the mean of its divisors is an integer number (16748760).

Almost surely, 2^509149536 is an apocalyptic number.

509149536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509149536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803940480).

509149536 is an abundant number, since it is smaller than the sum of its proper divisors (1098731424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509149536 is a wasteful number, since it uses less digits than its factorization.

509149536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39916 (or 39908 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 509149536 is about 22564.3421353249. The cubic root of 509149536 is about 798.5126196719.

The spelling of 509149536 in words is "five hundred nine million, one hundred forty-nine thousand, five hundred thirty-six".